112516224 has 64 divisors (see below), whose sum is σ = 302736000. Its totient is φ = 37020672.

The previous prime is 112516213. The next prime is 112516237. The reversal of 112516224 is 422615211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×112516224³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112516194 and 112516203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28482 + ... + 32190.

It is an arithmetic number, because the mean of its divisors is an integer number (4730250).

Almost surely, 2^112516224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151368000).

112516224 is an abundant number, since it is smaller than the sum of its proper divisors (190219776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112516224 is an equidigital number, since it uses as much as digits as its factorization.

112516224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3793 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 112516224 is about 10607.3664969209. The cubic root of 112516224 is about 482.7678972611.

The spelling of 112516224 in words is "one hundred twelve million, five hundred sixteen thousand, two hundred twenty-four".